Abstract
We consider a theoretical model for ferromagnetic metals like Gd, which takes into account the exchange interaction and the hybridization between two electronic subsystems. The first is built up by quasi-localized electrons, which take care for the existence of permanent magnetic moments, and is described by an atomic limit multiband Hubbard-Hamiltonian. The second subsystem consists of relatively broad conduction bands with more or less “free” electrons. We investigate the influence of electron correlations on the conduction band states in dependence of temperatureT and bandfillingn. A sensitive reaction of the band states on the magnetic ordering of the moment system leads to strong band deformations. The main goal is the determination of a quasiparticle bandstructure, which we derive in analogy to the experiment (PES, IPE) directly from the spectral density. The new aspect is a splitting of the “bare” dispersion ε m (k) into several quasiparticle dispersion curves with stronglyT-andn-dependent spectral weights. Even forT>T c an “exchange-caused” splitting is found. — In this paper we use as input for the “free” band energies ε m (k) a nondegenerate simple cubic-tight binding expression, and in addition seven dispersionlessf-levels, in order to stress mainly the influence of many body effects. It is discussed how the model can be coupled to a LDA bandstructure calculation, in order to get quantitative results for theT-dependent electronic structure of the ferromagnetic 4f-metal Gd, the presentation of which is intended in a forthcoming paper.
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Wachter, P.: In: Handbook on the physics and chemistry of rare earths. Gscheidner, K.A., Eyring, L. (eds) Vol. 1. Chap. 19 Amsterdam: North-Holland 1979
Passell, L., Dietrich, O.W., Als-Nielsen, J.: Phys. Rev. B11, 4897 (1976)
Als-Nielsen, J., Dietrich, O.W., Passell, L.: Phys. Rev. B14, 4908 (1976)
Dietrich, O.W., Als-Nielsen, J., Passell, L.: Phys. Rev. B14, 4923 (1976)
Nolting, W., Borstel, G., Borgiel, W.: Phys. Rev. B.35, 7015 (1987)
Nolting, W., Borstel, G., Borgiel, W.: Phys. Rev. B35, 7025 (1987)
Nolting, W., Borstel, G., Borgiel, W.: Phys. Rev. B37, 7663 (1988)
Brandow, B.: Adv. Phys.26, 651 (1977)
Nolting, W., Haunert, L., Borstel, G.: Phys. Rev. B46, 4426 (1992)
Hüfner, S., Steiner, P., Sander, I.: Solid State Commun.72, 359 (1989)
Kisker, E.: In: Metallic magnetism p. 57 Capellmann, H. (ed.) Berlin, Heidelberg, New York: Springer 1987
Nolting, W., Borgiel, W., Dose, V., Fauster, T.: Phys. Rev. B40, 5015 (1989)
Li, D., Hutchings, W., Dowben, P.A., Wu, R.-T., Hwang, C., Onellion, M., Andrews, A.B., Eskine, J.L.: J. Appl. Phys.70, 6565 (1991)
Himpsel, F.J., Reihl, B.: Phys. Rev. B28, 574 (1983)
Li, D., Zhang, J., Dowben, P.A., Onellion, M.: Phys. Rev. B45, 7272 (1992)
Kim, B., Andrews, A.B., Erskine, J.L., Kim, K.J., Harmon, B.N.: Phys. Rev. Lett.68, 1931 (1992)
Sticht, J., Kübler, J.: Solid State Commun.53, 529 (1985)
Borgiel, W., Borstel, G., Nolting, W.: Solid State Commun.60, 313 (1986)
Raue, R., Hopster, H., Clauberg, R.: Z. Phys. B54, 121 (1984)
Nolting, W., Braun, J., Borstel, G., Borgiel, W.: Phys. Scr.41, 601 (1990)
Braun, J., Nolting, W., Borstel, G.: Surf. Sci.251/252, 22 (1991)
Donath, M.: Appl. Phys. A49, 351 (1989)
Papaconstantopulos, D.A.: Handbook of the bandstructure of elemental solids. New York: Plenum Press 1986
Williams, A.R., Kübler, J., Gellat, C.D.: Phys. Rev. B19, 6094 (1979)
Borgiel, W., Nolting, W.: Z. Phys. B78, 241 (1990)
Nolting, W.: Phys. Status Solidi (b)96, 11 (1979)
Nagaev, E.I.: Phys. Status Solidi (b)65, 11 (1974)
Ovchinnikov, S.G.: Phase Transitions36, 15 (1991)
Nolting, W.: Electronic Structure in Solids (Proc. 20st Int. Symp.). Ziesche, P., Eschrig, H. (eds) p. 109 Berlin: Akademie-Verlag 1991
Nolting, W., Oles, A.M.: Phys. Rev. B23, 4122 (1981)
Nolting, W., Dubil, U., Matlak, M.: J. Phys. C18, 3687 (1985)
Fetter, A.L., Walecka, J.D.: Quantum theory of many-particle systems. New York: McGraw-Hill 1971
Nolting, W.: Grundkurs: Theoretische Physik, 7: Viel-Teilchen-Theorie. Ulmen: Neufang-Zimmermann-Verlag 1990
Lang, J.K., Baer, Y., Cox, P.A.: J. Phys. F11, 121 (1981)
Capellmann, H.: J. Phys. F4, 1466 (1974)
Koreman, V., Murray, J., Prange, R.E.: Phys. Rev. B16, 4032 (1977)
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Nolting, W., Dambeck, T. & Borstel, G. Temperature-dependent bandstructure of ferromagnetic metals with localized moments. Z. Physik B - Condensed Matter 90, 413–425 (1993). https://doi.org/10.1007/BF01308821
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DOI: https://doi.org/10.1007/BF01308821